cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A225374 Powers of 111.

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%I A225374 #28 Jul 07 2025 15:40:24
%S A225374 1,111,12321,1367631,151807041,16850581551,1870414552161,
%T A225374 207616015289871,23045377697175681,2558036924386500591,
%U A225374 283942098606901565601,31517572945366073781711,3498450596935634189769921,388328016259855395064461231,43104409804843948852155196641
%N A225374 Powers of 111.
%H A225374 T. D. Noe, <a href="/A225374/b225374.txt">Table of n, a(n) for n = 0..100</a>
%H A225374 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (111).
%F A225374 a(n) = 3^n * A009981(n) = A000244(n) * A009981(n). - _Zak Seidov_, May 09 2013
%F A225374 G.f.: 1/(1 - 111*x). - _R. J. Mathar_, May 09 2013
%F A225374 From _Elmo R. Oliveira_, Jul 06 2025: (Start)
%F A225374 E.g.f.: exp(111*x).
%F A225374 a(n) = 111^n.
%F A225374 a(n) = 111*a(n-1). (End)
%p A225374 A225374:=n->111^n; seq(A225374(n), n=0..20); # _Wesley Ivan Hurt_, Nov 13 2013
%t A225374 Table[111^n, {n, 0, 20}] (* _Wesley Ivan Hurt_, Nov 13 2013 *)
%t A225374 NestList[111#&,1,20] (* _Harvey P. Dale_, Oct 12 2019 *)
%Y A225374 Cf. A000244 (powers of 3), A009981 (powers of 37).
%K A225374 nonn,easy
%O A225374 0,2
%A A225374 _N. J. A. Sloane_, May 08 2013, following a suggestion from _Daniel Forgues_